Patra, Rashmirekha; Satapathy, Nihar Ranjan A new quarternionic Dirac operator on symplectic submanifold of a product symplectic manifold. (English) Zbl 07878428 Korean J. Math. 32, No. 1, 83-95 (2024). MSC: 58J50 53D05 53C42 34L40 PDFBibTeX XMLCite \textit{R. Patra} and \textit{N. R. Satapathy}, Korean J. Math. 32, No. 1, 83--95 (2024; Zbl 07878428) Full Text: DOI
Abdullaev, J. I.; Khalkhuzhaev, A. M.; Rasulov, T. H. Invariant subspaces and eigenvalues of the three-particle discrete Schrödinger operators. (English. Russian original) Zbl 07806530 Russ. Math. 67, No. 9, 1-15 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 9, 3-19 (2023). MSC: 81Q05 81Q35 70H15 37J55 81V73 35P15 47A15 70F07 35P15 PDFBibTeX XMLCite \textit{J. I. Abdullaev} et al., Russ. Math. 67, No. 9, 1--15 (2023; Zbl 07806530); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2023, No. 9, 3--19 (2023) Full Text: DOI
Ciubotaru, D.; De Martino, M.; Meyer, P. Symplectic Dirac operators for Lie algebras and graded Hecke algebras. (English) Zbl 1535.22062 Transform. Groups 28, No. 4, 1447-1475 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 22E60 20C08 17B35 17B10 53C27 PDFBibTeX XMLCite \textit{D. Ciubotaru} et al., Transform. Groups 28, No. 4, 1447--1475 (2023; Zbl 1535.22062) Full Text: DOI arXiv
Rovenski, Vladimir Integral formulas for a foliated sub-Riemannian manifold. (English) Zbl 1514.53070 Eur. J. Math. 9, No. 1, Paper No. 6, 22 p. (2023). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C12 53C17 70H45 70G45 PDFBibTeX XMLCite \textit{V. Rovenski}, Eur. J. Math. 9, No. 1, Paper No. 6, 22 p. (2023; Zbl 1514.53070) Full Text: DOI arXiv
Moretti, Valter; van de Ven, Christiaan J. F. The classical limit of Schrödinger operators in the framework of Berezin quantization and spontaneous symmetry breaking as an emergent phenomenon. (English) Zbl 1537.81088 Int. J. Geom. Methods Mod. Phys. 19, No. 1, Article ID 2250003, 50 p. (2022). MSC: 81Q05 46L65 53D55 81S10 81R40 70G10 35P15 46L05 81Q20 PDFBibTeX XMLCite \textit{V. Moretti} and \textit{C. J. F. van de Ven}, Int. J. Geom. Methods Mod. Phys. 19, No. 1, Article ID 2250003, 50 p. (2022; Zbl 1537.81088) Full Text: DOI arXiv
Novikova, E. M. Coherent Schwartz distributions of the Heisenberg algebra and inverted oscillator. (English) Zbl 1509.81516 J. Math. Phys. 63, No. 12, Article ID 123507, 13 p. (2022). MSC: 81R05 81Q05 47N50 81S10 PDFBibTeX XMLCite \textit{E. M. Novikova}, J. Math. Phys. 63, No. 12, Article ID 123507, 13 p. (2022; Zbl 1509.81516) Full Text: DOI
Mandal, Bhabani Prasad; Pandey, Vipul Kumar; Thibes, Ronaldo BFV quantization and BRST symmetries of the gauge invariant fourth-order Pais-Uhlenbeck oscillator. (English) Zbl 1500.81052 Nucl. Phys., B 982, Article ID 115905, 19 p. (2022). MSC: 81S10 22E70 70S15 81Q10 70H45 81T10 PDFBibTeX XMLCite \textit{B. P. Mandal} et al., Nucl. Phys., B 982, Article ID 115905, 19 p. (2022; Zbl 1500.81052) Full Text: DOI arXiv OA License
Ross, Calum Cartan connections and integrable vortex equations. (English) Zbl 1521.37061 J. Geom. Phys. 179, Article ID 104613, 19 p. (2022). Reviewer: Viktor Abramov (Tartu) MSC: 37J39 53Z05 58Z05 81Q05 PDFBibTeX XMLCite \textit{C. Ross}, J. Geom. Phys. 179, Article ID 104613, 19 p. (2022; Zbl 1521.37061) Full Text: DOI arXiv
Mihalcea, Bogdan M. Quasienergy operators and generalized squeezed states for systems of trapped ions. (English) Zbl 1497.81057 Ann. Phys. 442, Article ID 168926, 26 p. (2022). MSC: 81Q10 81V70 35Q41 81R30 53D05 81Q05 47A10 76Q05 81V80 78A37 51A50 78A60 81V72 PDFBibTeX XMLCite \textit{B. M. Mihalcea}, Ann. Phys. 442, Article ID 168926, 26 p. (2022; Zbl 1497.81057) Full Text: DOI arXiv
Eelbode, David; Muarem, Guner The orthogonal branching problem for symplectic monogenics. (English) Zbl 1495.17008 Adv. Appl. Clifford Algebr. 32, No. 3, Paper No. 32, 26 p. (2022). Reviewer: Adam Chapman (Tel Hai) MSC: 17B10 15A66 15A67 53D05 22E47 PDFBibTeX XMLCite \textit{D. Eelbode} and \textit{G. Muarem}, Adv. Appl. Clifford Algebr. 32, No. 3, Paper No. 32, 26 p. (2022; Zbl 1495.17008) Full Text: DOI arXiv Link
Jung, Seoung Dal Transversely symplectic Dirac operators on transversely symplectic foliations. (English) Zbl 1528.53024 J. Geom. Phys. 177, Article ID 104524, 23 p. (2022). Reviewer: Irina Gelbukh (Ciudad de México) MSC: 53C12 53C27 57R30 58C40 PDFBibTeX XMLCite \textit{S. D. Jung}, J. Geom. Phys. 177, Article ID 104524, 23 p. (2022; Zbl 1528.53024) Full Text: DOI arXiv
Hireche, Faouzi; Ghomari, Kaoutar Spectrum of semiclassical Schrödinger operators for two-frequency resonance. (English) Zbl 1509.35257 Asymptotic Anal. 127, No. 1-2, 191-200 (2022). MSC: 35Q40 81Q05 81S10 37G05 35B34 PDFBibTeX XMLCite \textit{F. Hireche} and \textit{K. Ghomari}, Asymptotic Anal. 127, No. 1--2, 191--200 (2022; Zbl 1509.35257) Full Text: DOI
Cheng, Xiujun; Yan, Xiaoqiang; Qin, Hongyu; Wang, Huiru Optimal \(l^\infty\) error estimates of the conservative scheme for two-dimensional Schrödinger equations with wave operator. (English) Zbl 1524.65326 Comput. Math. Appl. 100, 74-82 (2021). MSC: 65M06 65M12 35Q55 65P10 35Q41 35B05 78A60 35Q60 78M20 PDFBibTeX XMLCite \textit{X. Cheng} et al., Comput. Math. Appl. 100, 74--82 (2021; Zbl 1524.65326) Full Text: DOI
Li, Xin; Gong, Yuezheng; Zhang, Luming Linear high-order energy-preserving schemes for the nonlinear Schrödinger equation with wave operator using the scalar auxiliary variable approach. (English) Zbl 1480.35358 J. Sci. Comput. 88, No. 1, Paper No. 20, 25 p. (2021). MSC: 35Q55 35Q41 65M70 65L06 65P10 65N35 PDFBibTeX XMLCite \textit{X. Li} et al., J. Sci. Comput. 88, No. 1, Paper No. 20, 25 p. (2021; Zbl 1480.35358) Full Text: DOI
Aschieri, Paolo; Bonechi, Francesco; Deser, Andreas On curvature and torsion in Courant algebroids. (English) Zbl 1468.81054 Ann. Henri Poincaré 22, No. 7, 2475-2496 (2021). MSC: 81Q70 81T05 58A50 53E10 53D05 53C80 16S90 PDFBibTeX XMLCite \textit{P. Aschieri} et al., Ann. Henri Poincaré 22, No. 7, 2475--2496 (2021; Zbl 1468.81054) Full Text: DOI arXiv
Somberg, Petr; Šilhan, Josef Higher symmetries of symplectic Dirac operator. (English) Zbl 1450.53069 Geom. Dedicata 209, 177-198 (2020). MSC: 53D05 35Q41 58D19 17B08 53A20 PDFBibTeX XMLCite \textit{P. Somberg} and \textit{J. Šilhan}, Geom. Dedicata 209, 177--198 (2020; Zbl 1450.53069) Full Text: DOI arXiv
Eelbode, David; Hohloch, Sonja; Muarem, Guner The symplectic Fueter-Sce theorem. (English) Zbl 1455.53090 Adv. Appl. Clifford Algebr. 30, No. 4, Paper No. 49, 19 p. (2020). Reviewer: Amedeo Altavilla (Ancona) MSC: 53D05 53C27 15A67 30G35 PDFBibTeX XMLCite \textit{D. Eelbode} et al., Adv. Appl. Clifford Algebr. 30, No. 4, Paper No. 49, 19 p. (2020; Zbl 1455.53090) Full Text: DOI arXiv
Savelyev, Yasha; Shelukhin, Egor \(K\)-theoretic invariants of Hamiltonian fibrations. (English) Zbl 1446.53070 J. Symplectic Geom. 18, No. 1, 251-289 (2020). Reviewer: Andrew Bucki (Edmond) MSC: 53D50 55N15 18N45 57R17 PDFBibTeX XMLCite \textit{Y. Savelyev} and \textit{E. Shelukhin}, J. Symplectic Geom. 18, No. 1, 251--289 (2020; Zbl 1446.53070) Full Text: DOI arXiv
Wang, Bin; Wu, Xinyuan A symplectic approximation with nonlinear stability and convergence analysis for efficiently solving semi-linear Klein-Gordon equations. (English) Zbl 1439.35417 Appl. Numer. Math. 142, 64-89 (2019). Reviewer: Jinliang Yan (Wuyishan) MSC: 35Q41 65L20 65M12 65P10 35B35 65L06 PDFBibTeX XMLCite \textit{B. Wang} and \textit{X. Wu}, Appl. Numer. Math. 142, 64--89 (2019; Zbl 1439.35417) Full Text: DOI
Kozlov, V. V.; Smolyanov, O. G. Hamiltonian approach to secondary quantization. (English. Russian original) Zbl 1410.81029 Dokl. Math. 98, No. 3, 571-574 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 2, 138-142 (2018). MSC: 81S30 81Q05 81V70 81T05 70H05 81S05 81S10 PDFBibTeX XMLCite \textit{V. V. Kozlov} and \textit{O. G. Smolyanov}, Dokl. Math. 98, No. 3, 571--574 (2018; Zbl 1410.81029); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 2, 138--142 (2018) Full Text: DOI
Ioos, Louis On the composition of Berezin-Toeplitz operators on symplectic manifolds. (English) Zbl 1419.53080 Math. Z. 290, No. 1-2, 539-559 (2018). Reviewer: Benjamin Cahen (Metz) MSC: 53D50 53C27 PDFBibTeX XMLCite \textit{L. Ioos}, Math. Z. 290, No. 1--2, 539--559 (2018; Zbl 1419.53080) Full Text: DOI arXiv
Salač, Tomáš Elliptic complex on the Grassmannian of oriented 2-planes. (English) Zbl 1395.58022 Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 8, 19 p. (2018). Reviewer: Mihail Banaru (Smolensk) MSC: 58J10 53C35 PDFBibTeX XMLCite \textit{T. Salač}, Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 8, 19 p. (2018; Zbl 1395.58022) Full Text: DOI arXiv
Gianfreda, Mariagiovanna; Landolfi, Giulio Nonautonomous Hamiltonian quantum systems, operator equations, and representations of the Bender-Dunne Weyl-ordered basis under time-dependent canonical transformations. (English. Russian original) Zbl 1387.81208 Theor. Math. Phys. 193, No. 1, 1444-1463 (2017); translation from Teor. Mat. Fiz. 193, No. 1, 41-64 (2017). MSC: 81Q05 35Q41 70H15 81S30 PDFBibTeX XMLCite \textit{M. Gianfreda} and \textit{G. Landolfi}, Theor. Math. Phys. 193, No. 1, 1444--1463 (2017; Zbl 1387.81208); translation from Teor. Mat. Fiz. 193, No. 1, 41--64 (2017) Full Text: DOI arXiv
De Bie, Hendrik; Holíková, Marie; Somberg, Petr Basic aspects of symplectic Clifford analysis for the symplectic Dirac operator. (English) Zbl 1367.53042 Adv. Appl. Clifford Algebr. 27, No. 2, 1103-1132 (2017). MSC: 53C27 53D05 81R25 PDFBibTeX XMLCite \textit{H. De Bie} et al., Adv. Appl. Clifford Algebr. 27, No. 2, 1103--1132 (2017; Zbl 1367.53042) Full Text: DOI arXiv
Hochs, Peter; Song, Yanli Equivariant indices of \(\operatorname{Spin}^c\)-Dirac operators for proper moment maps. (English) Zbl 1370.58010 Duke Math. J. 166, No. 6, 1125-1178 (2017). Reviewer: Yong Wang (Changchun) MSC: 58J20 53C27 53D20 PDFBibTeX XMLCite \textit{P. Hochs} and \textit{Y. Song}, Duke Math. J. 166, No. 6, 1125--1178 (2017; Zbl 1370.58010) Full Text: DOI arXiv Euclid
Holíková, Marie; Křižka, Libor; Somberg, Petr Projective structure, \(\widetilde{\operatorname{SL}}(3,\mathbb{R})\) and the symplectic Dirac operator. (English) Zbl 1389.53082 Arch. Math., Brno 52, No. 5, 313-324 (2016). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 53C30 53D05 81R25 PDFBibTeX XMLCite \textit{M. Holíková} et al., Arch. Math. (Brno) 52, No. 5, 313--324 (2016; Zbl 1389.53082) Full Text: DOI arXiv
Bessonov, R. V.; Romanov, R. V. An inverse problem for weighted Paley-Wiener spaces. (English) Zbl 1381.46026 Inverse Probl. 32, No. 11, Article ID 115007, 15 p. (2016). Reviewer: Joseph Lakey (Las Cruces) MSC: 46E20 34L25 47B35 37J05 PDFBibTeX XMLCite \textit{R. V. Bessonov} and \textit{R. V. Romanov}, Inverse Probl. 32, No. 11, Article ID 115007, 15 p. (2016; Zbl 1381.46026) Full Text: DOI arXiv
Charles, Laurent Quantization of compact symplectic manifolds. (English) Zbl 1357.81127 J. Geom. Anal. 26, No. 4, 2664-2710 (2016). Reviewer: Benjamin Cahen (Metz) MSC: 81S10 53D50 81Q20 81Q05 81R20 PDFBibTeX XMLCite \textit{L. Charles}, J. Geom. Anal. 26, No. 4, 2664--2710 (2016; Zbl 1357.81127) Full Text: DOI arXiv
Quesne, C. Quantum oscillator and Kepler-Coulomb problems in curved spaces: deformed shape invariance, point canonical transformations, and rational extensions. (English) Zbl 1349.81102 J. Math. Phys. 57, No. 10, 102101, 20 p. (2016). MSC: 81Q35 81Q05 81Q10 81V45 81Q60 70H15 58J53 PDFBibTeX XMLCite \textit{C. Quesne}, J. Math. Phys. 57, No. 10, 102101, 20 p. (2016; Zbl 1349.81102) Full Text: DOI arXiv
Ciubotaru, Dan Dirac cohomology for symplectic reflection algebras. (English) Zbl 1383.20007 Sel. Math., New Ser. 22, No. 1, 111-144 (2016). MSC: 20C08 20F55 PDFBibTeX XMLCite \textit{D. Ciubotaru}, Sel. Math., New Ser. 22, No. 1, 111--144 (2016; Zbl 1383.20007) Full Text: DOI arXiv
Alhaidari, A. D.; Jellal, A. Compatibility of symmetric quantization with general covariance in the Dirac equation and spin connections. (English) Zbl 1349.81099 Phys. Lett., A 379, No. 45-46, 2946-2950 (2015). MSC: 81Q35 81S10 35Q41 81R15 35Q40 PDFBibTeX XMLCite \textit{A. D. Alhaidari} and \textit{A. Jellal}, Phys. Lett., A 379, No. 45--46, 2946--2950 (2015; Zbl 1349.81099) Full Text: DOI arXiv
Callies, Martin Permuting actions, moment maps and the generalized Seiberg-Witten equations. (English) Zbl 1350.53002 Göttingen: Univ. Göttingen (Diss.). 121 p. (2015). MSC: 53-02 53C26 53D20 53C21 PDFBibTeX XMLCite \textit{M. Callies}, Permuting actions, moment maps and the generalized Seiberg-Witten equations. Göttingen: Univ. Göttingen (Diss.) (2015; Zbl 1350.53002) Full Text: Link Link
Hochs, Peter; Mathai, Varghese Geometric quantization and families of inner products. (English) Zbl 1325.53115 Adv. Math. 282, 362-426 (2015). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 81S10 53C27 53D20 58J20 PDFBibTeX XMLCite \textit{P. Hochs} and \textit{V. Mathai}, Adv. Math. 282, 362--426 (2015; Zbl 1325.53115) Full Text: DOI arXiv
Ma, Xiaonan; Marinescu, George Exponential estimate for the asymptotics of Bergman kernels. (English) Zbl 1337.32011 Math. Ann. 362, No. 3-4, 1327-1347 (2015). Reviewer: Harold P. Boas (College Station) MSC: 32A25 32L05 53C27 53D05 58J37 PDFBibTeX XMLCite \textit{X. Ma} and \textit{G. Marinescu}, Math. Ann. 362, No. 3--4, 1327--1347 (2015; Zbl 1337.32011) Full Text: DOI arXiv HAL
Fang, Yan-Long; Vassiliev, Dmitri Analysis as a source of geometry: a non-geometric representation of the Dirac equation. (English) Zbl 1312.81062 J. Phys. A, Math. Theor. 48, No. 16, Article ID 165203, 19 p. (2015). MSC: 81Q05 81Q10 81S10 81Q35 78A25 70S15 83A05 PDFBibTeX XMLCite \textit{Y.-L. Fang} and \textit{D. Vassiliev}, J. Phys. A, Math. Theor. 48, No. 16, Article ID 165203, 19 p. (2015; Zbl 1312.81062) Full Text: DOI arXiv OA License
Brackx, F.; De Schepper, H.; Eelbode, D.; Lávička, R.; Souček, V. Fundaments of quaternionic Clifford analysis. I: Quaternionic structure. (English) Zbl 1364.15016 Adv. Appl. Clifford Algebr. 24, No. 4, 955-980 (2014). Reviewer: Eckhard Hitzer (Tokyo) MSC: 15A66 30A05 20G20 32A10 15B57 PDFBibTeX XMLCite \textit{F. Brackx} et al., Adv. Appl. Clifford Algebr. 24, No. 4, 955--980 (2014; Zbl 1364.15016) Full Text: DOI arXiv
Tsai, Chung-Jun Asymptotic spectral flow for Dirac operators of disjoint Dehn twists. (English) Zbl 1308.58014 Asian J. Math. 18, No. 4, 633-686 (2014). Reviewer: Cornelia-Livia Bejan (Iaşi) MSC: 58J30 53D35 PDFBibTeX XMLCite \textit{C.-J. Tsai}, Asian J. Math. 18, No. 4, 633--686 (2014; Zbl 1308.58014) Full Text: DOI arXiv Euclid
Dostálová, Marie; Somberg, Petr Symplectic twistor operator on \(\mathbb R^{2n}\) and the Segal-Shale-Weil representation. (English) Zbl 1306.53066 Complex Anal. Oper. Theory 8, No. 2, 513-528 (2014). Reviewer: Włodzimierz Jelonek (Kraków) MSC: 53D05 53C27 81R25 PDFBibTeX XMLCite \textit{M. Dostálová} and \textit{P. Somberg}, Complex Anal. Oper. Theory 8, No. 2, 513--528 (2014; Zbl 1306.53066) Full Text: DOI arXiv
De Bie, Hendrik; Somberg, Petr; Souček, Vladimir The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator. (English) Zbl 1279.30051 J. Geom. Phys. 75, 120-128 (2014). MSC: 30G35 37J05 17B10 PDFBibTeX XMLCite \textit{H. De Bie} et al., J. Geom. Phys. 75, 120--128 (2014; Zbl 1279.30051) Full Text: DOI arXiv
Dostálová, Marie; Somberg, Petr Symplectic twistor operator and its solution space on \({\mathbb {R}}^2\). (English) Zbl 1299.53115 Arch. Math., Brno 49, No. 3, 161-185 (2013). Reviewer: Aleš Návrat (Brno) MSC: 53C27 53D05 81R25 PDFBibTeX XMLCite \textit{M. Dostálová} and \textit{P. Somberg}, Arch. Math. (Brno) 49, No. 3, 161--185 (2013; Zbl 1299.53115) Full Text: DOI arXiv
Okonek, Christian; Teleman, Andrei Abelian Yang-Mills theory on real tori and theta divisors of Klein surfaces. (English) Zbl 1287.14030 Commun. Math. Phys. 323, No. 3, 813-858 (2013). Reviewer: Sergiy Koshkin (Houston) MSC: 14P25 30F50 53D30 57R22 PDFBibTeX XMLCite \textit{C. Okonek} and \textit{A. Teleman}, Commun. Math. Phys. 323, No. 3, 813--858 (2013; Zbl 1287.14030) Full Text: DOI arXiv
Maalaoui, Ali Rabinowitz-Floer homology for superquadratic Dirac equations on compact spin manifolds. (English) Zbl 1276.53058 J. Fixed Point Theory Appl. 13, No. 1, 175-199 (2013). Reviewer: Joseph D. Zund (Las Cruces) MSC: 53C27 53D40 PDFBibTeX XMLCite \textit{A. Maalaoui}, J. Fixed Point Theory Appl. 13, No. 1, 175--199 (2013; Zbl 1276.53058) Full Text: DOI arXiv
Değirmenci, Nedim; Karapazar, Şenay Seiberg-Witten equations on pseudo-Riemannian \({\text{spin}}^c\) manifolds with neutral signature. (English) Zbl 1274.53044 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 20, No. 1, 73-88 (2012). MSC: 53C07 53D37 PDFBibTeX XMLCite \textit{N. Değirmenci} and \textit{Ş. Karapazar}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 20, No. 1, 73--88 (2012; Zbl 1274.53044)
Breteaux, Sébastien Higher order terms for the quantum evolution of a Wick observable within the Hepp method. (English) Zbl 1254.81063 Cubo 14, No. 2, 91-109 (2012). MSC: 81S30 35Q40 81S10 81Q10 35Q41 PDFBibTeX XMLCite \textit{S. Breteaux}, Cubo 14, No. 2, 91--109 (2012; Zbl 1254.81063) Full Text: DOI arXiv
Ginzburg, Viktor L.; Hein, Doris Hyperkähler Arnold conjecture and its generalizations. (English) Zbl 1247.53097 Int. J. Math. 23, No. 8, Article ID 1250077, 15p. (2012). MSC: 53D40 32Q15 PDFBibTeX XMLCite \textit{V. L. Ginzburg} and \textit{D. Hein}, Int. J. Math. 23, No. 8, Article ID 1250077 (2012; Zbl 1247.53097) Full Text: DOI arXiv
Graefe, Eva-Maria; Schubert, Roman Complexified coherent states and quantum evolution with non-Hermitian Hamiltonians. (English) Zbl 1248.81078 J. Phys. A, Math. Theor. 45, No. 24, Article ID 244033, 15 p. (2012). MSC: 81R30 81Q12 81Q05 81Q20 81S30 81S10 PDFBibTeX XMLCite \textit{E.-M. Graefe} and \textit{R. Schubert}, J. Phys. A, Math. Theor. 45, No. 24, Article ID 244033, 15 p. (2012; Zbl 1248.81078) Full Text: DOI arXiv
Krýsl, Svatopluk Symplectic Killing spinors. (English) Zbl 1249.53093 Commentat. Math. Univ. Carol. 53, No. 1, 19-35 (2012). MSC: 53D05 58J60 53C07 PDFBibTeX XMLCite \textit{S. Krýsl}, Commentat. Math. Univ. Carol. 53, No. 1, 19--35 (2012; Zbl 1249.53093) Full Text: arXiv EuDML EMIS
Kisil, Vladimir V. Hypercomplex representations of the Heisenberg group and mechanics. (English) Zbl 1247.81232 Int. J. Theor. Phys. 51, No. 3, 964-984 (2012). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 81S10 11F27 81R15 81Q05 PDFBibTeX XMLCite \textit{V. V. Kisil}, Int. J. Theor. Phys. 51, No. 3, 964--984 (2012; Zbl 1247.81232) Full Text: DOI arXiv Link
Alekseev, A.; Meinrenken, E. Dirac structures and Dixmier-Douady bundles. (English) Zbl 1244.46038 Int. Math. Res. Not. 2012, No. 4, 904-956 (2012). MSC: 46M20 46L99 53D17 53D20 PDFBibTeX XMLCite \textit{A. Alekseev} and \textit{E. Meinrenken}, Int. Math. Res. Not. 2012, No. 4, 904--956 (2012; Zbl 1244.46038) Full Text: DOI arXiv
Marx, C. A. Singular components of spectral measures for ergodic Jacobi matrices. (English) Zbl 1317.47030 J. Math. Phys. 52, No. 7, 073508, 10 p. (2011). MSC: 47B36 47B15 39A12 81Q05 81Q10 34D08 37M15 PDFBibTeX XMLCite \textit{C. A. Marx}, J. Math. Phys. 52, No. 7, 073508, 10 p. (2011; Zbl 1317.47030) Full Text: DOI arXiv
Duistermaat, J. J. The heat kernel Lefschetz fixed point formula for the spin-c Dirac operator. Reprint of the 1996 original. (English) Zbl 1222.58014 Modern Birkhäuser Classics. Basel: Birkhäuser (ISBN 978-0-8176-8246-0/pbk; 978-0-8176-8247-7/ebook). x, 247 p. (2011). MSC: 58J20 53-02 53D05 53C27 57R15 58J35 58-02 58J37 PDFBibTeX XMLCite \textit{J. J. Duistermaat}, The heat kernel Lefschetz fixed point formula for the spin-c Dirac operator. Reprint of the 1996 original. Basel: Birkhäuser (2011; Zbl 1222.58014) Full Text: DOI
de Gier, Jan; Ponsaing, Anita Separation of variables for symplectic characters. (English) Zbl 1219.81152 Lett. Math. Phys. 97, No. 1, 61-83 (2011). MSC: 81R12 82B23 81S10 81Q05 81Q10 PDFBibTeX XMLCite \textit{J. de Gier} and \textit{A. Ponsaing}, Lett. Math. Phys. 97, No. 1, 61--83 (2011; Zbl 1219.81152) Full Text: DOI arXiv
Zhao, Jing; Zhou, Ru-Guang An integrable symplectic map related to discrete nonlinear Schrödinger equation. (English) Zbl 1222.81169 Commun. Theor. Phys. 53, No. 5, 799-802 (2010). MSC: 81Q05 35Q55 81R12 81Q10 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{R.-G. Zhou}, Commun. Theor. Phys. 53, No. 5, 799--802 (2010; Zbl 1222.81169) Full Text: DOI
Auroux, Denis The Weinstein conjecture in dimension 3 (after C. H. Taubes). (La conjecture de Weinstein en dimension 3 (d’après C. H. Taubes).) (French) Zbl 1220.53005 Séminaire Bourbaki. Volume 2008/2009. Exposés 997–1011. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-291-4/pbk). Astérisque 332, 135-159, Exp. No. 1002 (2010). Reviewer: Albert Sheu (Lawrence) MSC: 53-02 53D35 53D10 53D40 53D42 57R57 PDFBibTeX XMLCite \textit{D. Auroux}, Astérisque 332, 135--159, Exp. No. 1002 (2010; Zbl 1220.53005)
Pandžić, Pavle Dirac operators on Weil representations. II. (English) Zbl 1207.22009 Math. Commun. 15, No. 2, 411-424 (2010). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E47 PDFBibTeX XMLCite \textit{P. Pandžić}, Math. Commun. 15, No. 2, 411--424 (2010; Zbl 1207.22009)
Pandžić, Pavle Dirac operators on Weil representations. I. (English) Zbl 1207.22008 Math. Commun. 15, No. 2, 401-410 (2010). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E47 PDFBibTeX XMLCite \textit{P. Pandžić}, Math. Commun. 15, No. 2, 401--410 (2010; Zbl 1207.22008)
Rohwer, C. M.; Zloshchastiev, K. G.; Gouba, L.; Scholtz, F. G. Noncommutative quantum mechanics – a perspective on structure and spatial extent. (English) Zbl 1198.83017 J. Phys. A, Math. Theor. 43, No. 34, Article ID 345302, 18 p. (2010). MSC: 83C45 83C65 81R60 81S10 PDFBibTeX XMLCite \textit{C. M. Rohwer} et al., J. Phys. A, Math. Theor. 43, No. 34, Article ID 345302, 18 p. (2010; Zbl 1198.83017) Full Text: DOI arXiv
Midya, B.; Roy, B. Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schrödinger Hamiltonians. (English) Zbl 1234.81072 Phys. Lett., A 373, No. 45, 4117-4122 (2009). MSC: 81Q05 81Q60 81Q80 81R15 70H15 33C45 58J53 PDFBibTeX XMLCite \textit{B. Midya} and \textit{B. Roy}, Phys. Lett., A 373, No. 45, 4117--4122 (2009; Zbl 1234.81072) Full Text: DOI arXiv
Zhou, Meixiu; Wang, Xinzhen Limit point criteria for two classes of discrete Hamiltonian systems. (Chinese. English summary) Zbl 1212.39006 Acta Anal. Funct. Appl. 11, No. 4, 369-376 (2009). MSC: 39A12 37J05 PDFBibTeX XMLCite \textit{M. Zhou} and \textit{X. Wang}, Acta Anal. Funct. Appl. 11, No. 4, 369--376 (2009; Zbl 1212.39006)
Yeon, Kyu Hwang; Choi, Jeong Ryeol; Zhang, Shou Quantum systems connected by a time-dependent canonical transformation. (English) Zbl 1184.81064 Commun. Theor. Phys. 52, No. 3, 416-420 (2009). MSC: 81Q10 81Q05 70H15 PDFBibTeX XMLCite \textit{K. H. Yeon} et al., Commun. Theor. Phys. 52, No. 3, 416--420 (2009; Zbl 1184.81064) Full Text: DOI
Brasch, Steffen; Habermann, Katharina; Habermann, Lutz Symplectic Dirac operators on Hermitian symmetric spaces. (English) Zbl 1179.32007 Manuscr. Math. 130, No. 3, 295-310 (2009). Reviewer: László Stachó (Szeged) MSC: 32M15 53D05 58J50 53C35 PDFBibTeX XMLCite \textit{S. Brasch} et al., Manuscr. Math. 130, No. 3, 295--310 (2009; Zbl 1179.32007) Full Text: DOI arXiv OA License
Monovasilis, Th.; Kalogiratou, Z.; Simos, T. E. Computation of the eigenvalues of the Schrödinger equation by symplectic and trigonometrically fitted symplectic partitioned Runge-Kutta methods. (English) Zbl 1217.81061 Phys. Lett., A 372, No. 5, 569-573 (2008). MSC: 81Q05 81Q10 37M15 65L06 PDFBibTeX XMLCite \textit{Th. Monovasilis} et al., Phys. Lett., A 372, No. 5, 569--573 (2008; Zbl 1217.81061) Full Text: DOI
Krýsl, Svatopluk Symplectic Dirac operator and its generalization. (English) Zbl 1181.81079 Adv. Appl. Clifford Algebr. 18, No. 3-4, 853-863 (2008). MSC: 81S10 17B10 17B20 53D10 81R25 22E70 81R20 PDFBibTeX XMLCite \textit{S. Krýsl}, Adv. Appl. Clifford Algebr. 18, No. 3--4, 853--863 (2008; Zbl 1181.81079) Full Text: DOI
Mohlenkamp, Martin J.; Young, Todd Convergence of Green iterations for Schrödinger equations. (English) Zbl 1157.65507 Jorgensen, Palle (ed.) et al., Recent advances in computational sciences. Selected papers from the international workshop on computational sciences and its education, Beijing, China, 29–31 August, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-700-0/hbk). 201-208 (2008). MSC: 65P10 81Q05 35J10 47F05 PDFBibTeX XMLCite \textit{M. J. Mohlenkamp} and \textit{T. Young}, in: Recent advances in computational sciences. Selected papers from the international workshop on computational sciences and its education, Beijing, China, 29--31 August, 2005. Hackensack, NJ: World Scientific. 201--208 (2008; Zbl 1157.65507) Full Text: DOI Link
Ma, Xiaonan; Zhang, Weiping Bergman Kernels and symplectic reduction. (English) Zbl 1171.32001 Astérisque 318. Paris: Société Mathématique de France (ISBN 978-2-85629-255-6/pbk). viii, 154 p. (2008). Reviewer: Harold P. Boas (College Station) MSC: 32A25 32-02 58-02 53-02 58J37 53D50 53D20 32L10 PDFBibTeX XMLCite \textit{X. Ma} and \textit{W. Zhang}, Bergman Kernels and symplectic reduction. Paris: Société Mathématique de France (2008; Zbl 1171.32001) Full Text: Link
Ma, Xiaonan; Marinescu, George Generalized Bergman kernels on symplectic manifolds. (English) Zbl 1141.58018 Adv. Math. 217, No. 4, 1756-1815 (2008). Reviewer: Julien Keller (Marseille) MSC: 58J50 53D50 32A25 58J35 58-02 53-02 53D05 47B35 PDFBibTeX XMLCite \textit{X. Ma} and \textit{G. Marinescu}, Adv. Math. 217, No. 4, 1756--1815 (2008; Zbl 1141.58018) Full Text: DOI arXiv
Krýsl, Svatopluk Relation of the spectra of symplectic Rarita-Schwinger and Dirac operators on flat symplectic manifolds. (English) Zbl 1199.58011 Arch. Math., Brno 43, No. 5, 467-484 (2007). MSC: 58J05 58J50 35N10 53D05 PDFBibTeX XMLCite \textit{S. Krýsl}, Arch. Math. (Brno) 43, No. 5, 467--484 (2007; Zbl 1199.58011) Full Text: EuDML EMIS
Rosenberg, Jonathan Manifolds of positive scalar curvature: a progress report. (English) Zbl 1171.53028 Cheeger, Jeffrey (ed.) et al., Metric and comparison geometry. Surveys in differential geometry. Vol. XI. Somerville, MA: International Press (ISBN 978-1-57146-117-9/hbk). Surveys in Differential Geometry 11, 259-294 (2007). Reviewer: Mircea Craioveanu (Timişoara) MSC: 53C20 57R15 57R57 57R60 53C21 PDFBibTeX XMLCite \textit{J. Rosenberg}, Surv. Differ. Geom. 11, 259--294 (2007; Zbl 1171.53028)
Ma, Xiaonan; Marinescu, George Holomorphic Morse inequalities and Bergman kernels. (English) Zbl 1135.32001 Progress in Mathematics 254. Basel: Birkhäuser (ISBN 978-3-7643-8096-0/hbk). xiii, 422 p. (2007). Reviewer: Julien Keller (Marseille) MSC: 32-02 53-02 58-02 32A25 58J35 58J50 58J52 53D50 PDFBibTeX XMLCite \textit{X. Ma} and \textit{G. Marinescu}, Holomorphic Morse inequalities and Bergman kernels. Basel: Birkhäuser (2007; Zbl 1135.32001)
Asorey, M.; Cariñena, J. F.; Marmo, G.; Perelomov, A. Isoperiodic classical systems and their quantum counterparts. (English) Zbl 1114.81034 Ann. Phys. 322, No. 6, 1444-1465 (2007). MSC: 81Q10 81Q05 81S10 58J53 34B24 PDFBibTeX XMLCite \textit{M. Asorey} et al., Ann. Phys. 322, No. 6, 1444--1465 (2007; Zbl 1114.81034) Full Text: DOI arXiv
Gadjiev, S. A.; Jafarov, R. G. On quantization of time-dependent systems with constraints. (English) Zbl 1113.81083 J. Phys. A, Math. Theor. 40, No. 13, 3665-3669 (2007). MSC: 81S10 70H45 81R15 PDFBibTeX XMLCite \textit{S. A. Gadjiev} and \textit{R. G. Jafarov}, J. Phys. A, Math. Theor. 40, No. 13, 3665--3669 (2007; Zbl 1113.81083) Full Text: DOI arXiv
Monovasilis, Th.; Kalogiratou, Z.; Monovasilis, Th.; Simos, T. E. Trigonometrically fitted and exponentially fitted symplectic methods for the numerical integration of the Schrödinger equation. (English) Zbl 1125.81021 J. Math. Chem. 40, No. 3, 257-267 (2006). MSC: 81Q05 65T40 81Q70 81Q10 PDFBibTeX XMLCite \textit{Th. Monovasilis} et al., J. Math. Chem. 40, No. 3, 257--267 (2006; Zbl 1125.81021) Full Text: DOI
Liu, Q. H. Universality of operator ordering in kinetic energy operator for particles moving on two dimensional surfaces. (English) Zbl 1110.81323 Int. J. Theor. Phys. 45, No. 11, 2137-2142 (2006). MSC: 81R15 81Q05 81S10 PDFBibTeX XMLCite \textit{Q. H. Liu}, Int. J. Theor. Phys. 45, No. 11, 2137--2142 (2006; Zbl 1110.81323) Full Text: DOI
Yang, Ciann-Dong Quantum Hamilton mechanics: Hamilton equations of quantum motion, origin of quantum operators, and proof of quantization axiom. (English) Zbl 1105.81036 Ann. Phys. 321, No. 12, 2876-2926 (2006). Reviewer: T. C. Mohan (Dehra Dun) MSC: 81Q10 81Q05 70H05 81S10 PDFBibTeX XMLCite \textit{C.-D. Yang}, Ann. Phys. 321, No. 12, 2876--2926 (2006; Zbl 1105.81036) Full Text: DOI Link
Vinitsky, S. I.; Gerdt, V. P.; Gusev, A. A.; Kaschiev, M. S.; Rostovtsev, V. A.; Samoylov, V. N.; Tupikova, T. V.; Uwano, Y. Symbolic algorithm for factorization of the evolution operator of the time-dependent Schrödinger equation. (English. Russian original) Zbl 1101.65089 Program. Comput. Softw. 32, No. 2, 103-113 (2006); translation from Programmirovanie 32, No. 2, 58-70 (2006). MSC: 65M06 35Q40 81Q05 37K10 65P10 PDFBibTeX XMLCite \textit{S. I. Vinitsky} et al., Program. Comput. Softw. 32, No. 2, 103--113 (2006; Zbl 1101.65089); translation from Programmirovanie 32, No. 2, 58--70 (2006) Full Text: DOI
Le Bris, Claude Mathematical and numerical analysis for molecular simulation: accomplishments and challenges. (English) Zbl 1098.35003 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 1507-1522 (2006). MSC: 35-02 81Q05 81Q10 35Q72 35Q80 PDFBibTeX XMLCite \textit{C. Le Bris}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume III: Invited lectures. Zürich: European Mathematical Society (EMS). 1507--1522 (2006; Zbl 1098.35003)
Waldmann, Stefan States and representations in deformation quantization. (English) Zbl 1138.53316 Rev. Math. Phys. 17, No. 1, 15-75 (2005). MSC: 53D55 46L65 53D17 81S10 PDFBibTeX XMLCite \textit{S. Waldmann}, Rev. Math. Phys. 17, No. 1, 15--75 (2005; Zbl 1138.53316) Full Text: DOI arXiv
Ziegler, Martin; Fuchssteiner, Benno Nonlinear reformulation of Heisenberg’s dynamics. (English) Zbl 1104.81069 Int. J. Theor. Phys. 44, No. 7, 693-717 (2005). MSC: 81S10 81R15 70G45 81Q05 53D05 PDFBibTeX XMLCite \textit{M. Ziegler} and \textit{B. Fuchssteiner}, Int. J. Theor. Phys. 44, No. 7, 693--717 (2005; Zbl 1104.81069) Full Text: DOI arXiv
Kisil, Vladimir V. \(p\)-mechanics and field theory. (English) Zbl 1088.81067 Rep. Math. Phys. 56, No. 2, 161-174 (2005). Reviewer: Benjamin Cahen (Metz) MSC: 81S10 81R05 81R15 53D17 53D55 43A65 15A66 81T70 PDFBibTeX XMLCite \textit{V. V. Kisil}, Rep. Math. Phys. 56, No. 2, 161--174 (2005; Zbl 1088.81067) Full Text: DOI arXiv
Santos, E. S.; De Montigny, M.; Khanna, F. C. Canonical quantization of Galilean covariant field theories. (English) Zbl 1086.81076 Ann. Phys. 320, No. 1, 21-55 (2005). Reviewer: Vladimir Balan (Bucureşti) MSC: 81T70 81S10 53D50 81T10 81T05 PDFBibTeX XMLCite \textit{E. S. Santos} et al., Ann. Phys. 320, No. 1, 21--55 (2005; Zbl 1086.81076) Full Text: DOI
Ma, Xiaonan; Zhang, Weiping Bergman kernels and symplectic reduction. (English. Abridged French version) Zbl 1085.58028 C. R., Math., Acad. Sci. Paris 341, No. 5, 297-302 (2005). Reviewer: Harold P. Boas (College Station) MSC: 58J60 32A25 53C27 53D20 PDFBibTeX XMLCite \textit{X. Ma} and \textit{W. Zhang}, C. R., Math., Acad. Sci. Paris 341, No. 5, 297--302 (2005; Zbl 1085.58028) Full Text: DOI arXiv
Weinstein, Alan; Tang, Xiang Quantization and Morita equivalence for constant Dirac structures on tori. (English) Zbl 1068.46044 Ann. Inst. Fourier 54, No. 5, 1565-1580 (2004). MSC: 46L65 81S10 PDFBibTeX XMLCite \textit{A. Weinstein} and \textit{X. Tang}, Ann. Inst. Fourier 54, No. 5, 1565--1580 (2004; Zbl 1068.46044) Full Text: DOI arXiv Numdam EuDML
Liang, Mai-Lin; Sun, Yu-Jing Quantum-classical correspondence of the relativistic equations. (English) Zbl 1056.81047 Ann. Phys. 314, No. 1, 1-9 (2004). MSC: 81S10 83F05 81Q05 81R15 PDFBibTeX XMLCite \textit{M.-L. Liang} and \textit{Y.-J. Sun}, Ann. Phys. 314, No. 1, 1--9 (2004; Zbl 1056.81047) Full Text: DOI
Hong, Soon-Tae; Rothe, Klaus D. The gauged \(O(3)\) sigma model: Schrödinger representation and Hamilton-Jacobi formulation. (English) Zbl 1062.81083 Ann. Phys. 311, No. 2, 417-430 (2004). MSC: 81R12 81T10 81T13 81S10 70H20 81Q10 PDFBibTeX XMLCite \textit{S.-T. Hong} and \textit{K. D. Rothe}, Ann. Phys. 311, No. 2, 417--430 (2004; Zbl 1062.81083) Full Text: DOI arXiv
Braga, Nelson R. F.; Godinho, Cresus F. L. Fermionic anticommutators for open superstrings in the presence of antisymmetric tensor field. (English) Zbl 1058.81639 Phys. Lett., B 570, No. 1-2, 111-117 (2003). MSC: 81T30 81T60 81R15 PDFBibTeX XMLCite \textit{N. R. F. Braga} and \textit{C. F. L. Godinho}, Phys. Lett., B 570, No. 1--2, 111--117 (2003; Zbl 1058.81639) Full Text: DOI arXiv OA License
Sobolev, A. S. A proof of the Dirac conjecture for a class of finite-dimensional Hamilton-Dirac systems. (English. Russian original) Zbl 1040.70011 Math. Notes 71, No. 5, 724-729 (2002); translation from Mat. Zametki 71, No. 5, 793-797 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 70H45 70Q05 PDFBibTeX XMLCite \textit{A. S. Sobolev}, Math. Notes 71, No. 5, 724--729 (2002; Zbl 1040.70011); translation from Mat. Zametki 71, No. 5, 793--797 (2002) Full Text: DOI
Kadlčáková, Lenka Dirac operator in contact symplectic parabolic geometry. (English) Zbl 1024.53021 Slovák, Jan (ed.) et al., The proceedings of the 21th winter school “Geometry and physics”, Srní, Czech Republic, January 13-20, 2001. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 69, 97-107 (2002). Reviewer: D.Demetropoulou-Psomopoulou (Tessalonik MSC: 53C15 53D05 PDFBibTeX XMLCite \textit{L. Kadlčáková}, in: The proceedings of the 21st winter school ``Geometry and physics'', Srní, Czech Republic, January 13--20, 2001. Palermo: Circolo Matemàtico di Palermo. 97--107 (2002; Zbl 1024.53021)
Scorpan, Alexandru Nowhere-zero harmonic spinors and their associated self-dual 2-forms. (English) Zbl 1009.53036 Commun. Contemp. Math. 4, No. 1, 45-63 (2002). Reviewer: Gueo Grantcharov (Storrs) MSC: 53C27 57R57 53C55 53D35 PDFBibTeX XMLCite \textit{A. Scorpan}, Commun. Contemp. Math. 4, No. 1, 45--63 (2002; Zbl 1009.53036) Full Text: DOI arXiv
Shirzad, A.; Mojiri, M. Constraint structure in modified Faddeev–Jackiw method. (English) Zbl 1138.81471 Mod. Phys. Lett. A 16, No. 38, 2439-2448 (2001). MSC: 81T05 70H45 PDFBibTeX XMLCite \textit{A. Shirzad} and \textit{M. Mojiri}, Mod. Phys. Lett. A 16, No. 38, 2439--2448 (2001; Zbl 1138.81471) Full Text: DOI arXiv
Kadlčáková, Lenka Contact symplectic geometry in parabolic invariant theory and symplectic Dirac operator. (English) Zbl 1039.58017 Brackx, F. (ed.) et al., Clifford analysis and its applications. Proceedings of the NATO advanced research workshop, Prague, Czech Republic, October 30–November 3, 2000. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-7044-9/hbk; 0-7923-7045-7/pbk). NATO Sci. Ser. II, Math. Phys. Chem. 25, 103-111 (2001). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J05 58J60 30G35 35A27 81R05 53C27 PDFBibTeX XMLCite \textit{L. Kadlčáková}, NATO Sci. Ser. II, Math. Phys. Chem. 25, 103--111 (2001; Zbl 1039.58017)
Feng, Huitao; Hu, Wenchuan; Zhang, Weiping A family quantization formula for symplectic manifolds with boundary. (English) Zbl 1008.53076 Sci. China, Ser. A 44, No. 5, 599-609 (2001). Reviewer: Andrew Bucki (Oklahoma City) MSC: 53D50 53C27 53D20 55N15 58J20 19L47 PDFBibTeX XMLCite \textit{H. Feng} et al., Sci. China, Ser. A 44, No. 5, 599--609 (2001; Zbl 1008.53076) Full Text: DOI
Paoletti, Roberto A remark on almost complex quantization in symplectic fibrations. (English) Zbl 1007.53071 Indag. Math., New Ser. 12, No. 2, 243-246 (2001). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 81S10 53C27 PDFBibTeX XMLCite \textit{R. Paoletti}, Indag. Math., New Ser. 12, No. 2, 243--246 (2001; Zbl 1007.53071) Full Text: DOI
García, J. Antonio; Pons, J. M. Lagrangian Noether symmetries as canonical transformations. (English) Zbl 0990.70014 Int. J. Mod. Phys. A 16, No. 23, 3897-3914 (2001). Reviewer: Giuseppe Gaeta (Roma) MSC: 70H33 70H15 PDFBibTeX XMLCite \textit{J. A. García} and \textit{J. M. Pons}, Int. J. Mod. Phys. A 16, No. 23, 3897--3914 (2001; Zbl 0990.70014) Full Text: DOI arXiv
Booss-Bavnbek, Bernhelm; Furutani, Kenro; Otsuki, Nobukazu Criss-cross reduction of the Maslov index and a proof of the Yoshida-Nicolaescu theorem. (English) Zbl 1038.53072 Tokyo J. Math. 24, No. 1, 113-128 (2001). Reviewer: Mircea Craioveanu (Timişoara) MSC: 53D12 58B20 58B15 PDFBibTeX XMLCite \textit{B. Booss-Bavnbek} et al., Tokyo J. Math. 24, No. 1, 113--128 (2001; Zbl 1038.53072) Full Text: DOI
Seeger, Lutz Metrics with harmonic spinors on even dimensional spheres. (Metriken mit harmonischen Spinoren auf geradedimensionalen Sphären.) (German) Zbl 0986.53018 Berichte aus der Mathematik. Aachen: Shaker Verlag. Hamburg: Univ. Hamburg, Fachbereich Mathematik (Diss.), 86 S. (2001). Reviewer: Christian Bär (Hamburg) MSC: 53C27 PDFBibTeX XMLCite \textit{L. Seeger}, Metriken mit harmonischen Spinoren auf geradedimensionalen Sphären. Aachen: Shaker Verlag; Hamburg: Univ. Hamburg, Fachbereich Mathematik (Diss.) (2001; Zbl 0986.53018)
Baleanu, Dumitru; Güler, Yurdahan Hamilton-Jacobi treatment of a non-relativistic particle on a curved space. (English) Zbl 0980.70013 J. Phys. A, Math. Gen. 34, No. 1, 73-80 (2001). MSC: 70H20 70G45 PDFBibTeX XMLCite \textit{D. Baleanu} and \textit{Y. Güler}, J. Phys. A, Math. Gen. 34, No. 1, 73--80 (2001; Zbl 0980.70013) Full Text: DOI arXiv
Yaremko, Yurij The tangent groups of a Lie group and gauge invariance in Lagrangian dynamical systems. (English) Zbl 1073.70514 Proceedings of the third international conference on symmetry in nonlinear mathematical physics, Kyiv, Ukraine, July 12–18, 1999. Part 2. Transl. from the Ukrainian. Kyiv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-1402-2/pt.2; 966-02-1444-8/set). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 30(2), 544-550 (2000). Reviewer: I. O. Parasyuk (Kyïv) MSC: 70G65 70G45 70H45 37N05 PDFBibTeX XMLCite \textit{Y. Yaremko}, in: Proceedings of the third international conference on symmetry in nonlinear mathematical physics, Kyiv, Ukraine, July 12--18, 1999. Part 2. Transl. from the Ukrainian. Kyiv: Institute of Mathematics of NAS of Ukraine. 544--550 (2000; Zbl 1073.70514)
Cannas da Silva, Ana; Guillemin, Victor; Woodward, Christopher On the unfolding of folded symplectic structures. (English) Zbl 0984.53036 Math. Res. Lett. 7, No. 1, 35-53 (2000). Reviewer: Wojciech Domitrz (Warszawa) MSC: 53D35 53C27 57R17 58J20 PDFBibTeX XMLCite \textit{A. Cannas da Silva} et al., Math. Res. Lett. 7, No. 1, 35--53 (2000; Zbl 0984.53036) Full Text: DOI
Lesch, Matthias; Malamud, Mark M. The inverse spectral problem for first order systems on the half line. (English) Zbl 0956.34072 Adamyan, V. M. (ed.) et al., Differential operators and related topics. Proceedings of the Mark Krein international conference on operator theory and applications, Odessa, Ukraine, August 18-22, 1997. Volume I. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 117, 199-238 (2000). Reviewer: N.D.Sengupta (Bombay) MSC: 34L05 34A55 34A25 PDFBibTeX XMLCite \textit{M. Lesch} and \textit{M. M. Malamud}, in: Differential operators and related topics. Proceedings of the Mark Krein international conference on operator theory and applications, Odessa, Ukraine, August 18--22, 1997. Volume I. Basel: Birkhäuser. 199--238 (2000; Zbl 0956.34072) Full Text: arXiv
Habermann, Katharina Symplectic Dirac operators of Kähler manifolds. (English) Zbl 0965.58025 Math. Nachr. 211, 37-62 (2000). Reviewer: Sebastian Goette (Tübingen) MSC: 58J50 53C55 35P15 35K05 58J35 58J05 53D50 53C35 PDFBibTeX XMLCite \textit{K. Habermann}, Math. Nachr. 211, 37--62 (2000; Zbl 0965.58025) Full Text: DOI